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Finding the Third Proportional to 70,257 and 107,146

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Solution

The third proportional to 70,257 and 107,146 is: 163,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,257 : 107,146 = 107,146 : x
  2. Step 2: Convert to fraction form
    70,257/107,146 = 107,146/x
  3. Step 3: Cross multiply
    70,257x = 107,146 × 107,146
  4. Step 4: Simplify right side
    70,257x = 11,480,265,316
  5. Step 5: Solve for x
    x = 11,480,265,316/70,257
  6. Step 6: Final answer
    x = 163,403.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.